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A251019
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the maximum of its antidiagonal elements
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9
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63, 423, 423, 2828, 6653, 2828, 18910, 105897, 105897, 18910, 126468, 1691169, 4006992, 1691169, 126468, 845838, 27018053, 151364054, 151364054, 27018053, 845838, 5657125, 431623476, 5710752444, 13508173078, 5710752444, 431623476
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OFFSET
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1,1
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COMMENTS
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Table starts
......63........423..........2828............18910...............126468
.....423.......6653........105897..........1691169.............27018053
....2828.....105897.......4006992........151364054...........5710752444
...18910....1691169.....151364054......13508173078........1205414504630
..126468...27018053....5710752444....1205414504630......254604954671538
..845838..431623476..215399006284..107601568615993....53785005221582139
.5657125.6895174650.8124335802103.9606281958966442.11361245256068263101
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 9*a(n-1) -18*a(n-2) +18*a(n-3) -7*a(n-4) +a(n-5)
k=2: [order 14]
k=3: [order 34]
k=4: [order 92]
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..0..2..1....0..0..2..2..2....0..2..2..2..1....0..1..2..2..1
..0..2..2..2..1....0..0..2..0..0....0..2..0..2..1....0..2..2..2..0
..1..2..2..1..0....1..1..2..0..0....0..2..1..2..2....1..2..0..0..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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